349764 has 12 divisors (see below), whose sum is σ = 816144. Its totient is φ = 116584.

The previous prime is 349759. The next prime is 349787. The reversal of 349764 is 467943.

It is a tau number, because it is divible by the number of its divisors (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 349764.

It is an unprimeable number.

349764 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14562 + ... + 14585.

It is an arithmetic number, because the mean of its divisors is an integer number (68012).

2³⁴⁹⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

349764 is an abundant number, since it is smaller than the sum of its proper divisors (466380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349764 is a wasteful number, since it uses less digits than its factorization.

349764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29154 (or 29152 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 349764 is about 591.4084882719. The cubic root of 349764 is about 70.4571441163.

It can be divided in two parts, 34976 and 4, that added together give a triangular number (34980 = T₂₆₄).

The spelling of 349764 in words is "three hundred forty-nine thousand, seven hundred sixty-four".